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Simplifying 3(8X + 6) + -3(4 + -1X) = 4(X + -3) + -2 Reorder the terms: 3(6 + 8X) + -3(4 + -1X) = 4(X + -3) + -2 (6 * 3 + 8X * 3) + -3(4 + -1X) = 4(X + -3) + -2 (18 + 24X) + -3(4 + -1X) = 4(X + -3) + -2 18 + 24X + (4 * -3 + -1X * -3) = 4(X + -3) + -2 18 + 24X + (-12 + 3X) = 4(X + -3) + -2 Reorder the terms: 18 + -12 + 24X + 3X = 4(X + -3) + -2 Combine like terms: 18 + -12 = 6 6 + 24X + 3X = 4(X + -3) + -2 Combine like terms: 24X + 3X = 27X 6 + 27X = 4(X + -3) + -2 Reorder the terms: 6 + 27X = 4(-3 + X) + -2 6 + 27X = (-3 * 4 + X * 4) + -2 6 + 27X = (-12 + 4X) + -2 Reorder the terms: 6 + 27X = -12 + -2 + 4X Combine like terms: -12 + -2 = -14 6 + 27X = -14 + 4X Solving 6 + 27X = -14 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 6 + 27X + -4X = -14 + 4X + -4X Combine like terms: 27X + -4X = 23X 6 + 23X = -14 + 4X + -4X Combine like terms: 4X + -4X = 0 6 + 23X = -14 + 0 6 + 23X = -14 Add '-6' to each side of the equation. 6 + -6 + 23X = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 23X = -14 + -6 23X = -14 + -6 Combine like terms: -14 + -6 = -20 23X = -20 Divide each side by '23'. X = -0.8695652174 Simplifying X = -0.8695652174
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